By Altmann, Gabriel, Gabriel Altmann
This quantity provides 12 papers on a brand new method of the research of writing structures. For the 1st time, quantitative equipment are brought into this region of study in a scientific method. the person contributions supply an outline approximately quantitative houses of symbols and of writing structures, introduce equipment of study, learn person writing platforms as used for various languages, arrange an explanatory version of phenomena attached to script development/evolution, and provides a standpoint to a common thought of writing platforms.
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Extra resources for Analyses of Script: Properties of Characters and Writing Systems (Quantitative Linguistics) (German Edition)
Hence some three-letter graphemes must be applied, etc. However, phonetic reasons are not the only causes restricting the proliferation of grapheme length. It is above all the requirement of economy (or optimality) which cares for balance in all domains of language (cf. Zipf 1935, 1949; Köhler 1986). Thus in formula (4) a more rapid convergence must be built in. Tentatively we replace the proportionality function a/x by the Zipﬁan function a/xb and obtain a Px−1 . xb (5) ax P0 , x = 0, 1, 2, . .
The grapheme-phoneme mapping has been examined from different aspects (cf. Adams 1990; Berndt, Reggia, Mitchum 1987; Cunningham & Cunningham 1992; Fry 2004; Hanna et al. 1966; Patterson & Morton 1985; Seidenberg et al. 1984), and some probabilities have been computed. Such analysis is relevant not only for linguistics but also for cognition studies and pedagogy. We are interested here only in some measurable properties of the English phoneme-grapheme correspondence, in order to be able to study later on the divergence or convergence of this representation.
B (6) Px = Solving (5) we obtain Px = representing the Conway-Maxwell-Poisson distribution (cf. Wimmer & Altmann 1999) already used in linguistics, being a special case of the Wimmer-Altmann (2005) approach. Since there is no “zero-length” grapheme, we either solve (5) for x = 2, 3, . . or we displace (6) one step to the right, in order to obtain ax−1 , x = 1, 2, 3, . . e. T is identical with (P0 )−1 . 39 Applying (7) to our data we obtain the observed and computed values as given in Table 3.